# -*- Mode: shell-script -*-
#############################################################################
##
#A  trans11.grp                 GAP group library            Alexander Hulpke
#A                                                              & Greg Butler
#A                                                               & John McKay
##
##
#Y  Copyright (C) 2018-2021, Carnegie Mellon University
#Y  All rights reserved.  See LICENSE for details.
#Y  
#Y  This work is based on GAP version 3, with some files from version 4.  GAP is
#Y  Copyright (C) (1987--2021) by the GAP Group (www.gap-system.org).
##
##  This file contains the transitive groups of degree 11.
##
##


TRANSGRP[11]:= [
[(1,2,3,4,5,6,7,8,9,10,11),"C(11) = 11"],
[(1,2,3,4,5,6,7,8,9,10,11),(1,10)(2,9)(3,8)(4,7)(5,6),"D(11) = 11:2"],
[(1,2,3,4,5,6,7,8,9,10,11),(1,3,9,5,4)(2,6,7,10,8),"F_55(11) = 11:5"],
[(1,2,3,4,5,6,7,8,9,10,11),(1,2,4,8,5,10,9,7,3,6),"F_110(11) = 11:10"],
[(1,2,3,4,5,6,7,8,9,10,11),(2,10)(3,4)(5,9)(6,7),"L(11) = PSL(2,11)(11)"],
[(1,2,3,4,5,6,7,8,9,10,11),(1,3,9,5,4)(2,6,7,10,8),
(2,6,10,7)(3,9,4,5),"M(11)"],
[(1,10,11),(2,10,11),(3,10,11),(4,10,11),(5,10,11),(6,10,11),
(7,10,11),(8,10,11),(9,10,11),"A(11)"],
[(1,11),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7),(7,8),(8,9),(9,10),"S(11)"]];

TRANSPROPERTIES[11]:=
[[11,1,1,1,[F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T],[4011],[9011],[14011]],
[22,1,1,-1,[F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,T],[-4011],[-4022],[-4022,-4011]],
[55,1,1,1,
[F,F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,T],
[55],[1055],[2055]],
[110,1,2,-1,[F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,T],[-55],[-110],[-110,-55]],
[660,1,2,1,[F,F,F,T,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,F,T
],[55],[110],[55,110]],
[7920,1,4,1,[F,F,F,T,F,F,F,F,
F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,F,
T,F,F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,F,T]
,[55],[110],[165],[5,[66,396]]],
[19958400,1,9,1,
[F,T,F,T,F,T,F,T,F,T,
T,F,T,T,F,F,T,F,T,F,
T,F,F,T,F,T,T,F,T,F,
T,F,T,F,T,T,F,T,F,F,
T,T,F,T,F,T,T,F,F,T,
F,T,F,F,T],[55],[110],[165],
[5,[462]]],
[39916800,1,11,-1,[T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,T,
T,T,T],[-55],[-110],[165]]];
